Filamentation processes and dynamical excitation of light condensates in optical media with competing nonlinearities

Novoa, David; Michinel, Humberto; Tommasini, D.; Carpentier, Alicia V.

doi:10.1103/physreva.81.043842

Cited by 6 publications

(9 citation statements)

References 24 publications

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“…In the middle picture, we show the outcome of the propagation of an initial beam having Λ = A g ∞ , at a propagation distance η = 100. In this case, we observe how the spatial beam profile has been destabilized by the growth of the perturbations, yielding to multiple filamentation like in the Cubic-Quintic model [29]. The arising filaments correspond to perturbed quasi-stationary ultrasolitons.…”

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confidence: 91%

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Ultrasolitons: Multistability and subcritical power threshold from higher-order Kerr terms

Novoa

Tommasini

Michinel

2012

EPL

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-We show that an optical system involving competing higher-order Kerr nonlinearities can support the existence of ultrasolitons, namely extremely localized modes that only appear above a certain threshold for the central intensity. Such new solitary waves can be produced for powers below the usual collapse threshold, but they can also coexist with ordinary, lower-intensity solitons. We derive analytical conditions for the occurrence of multistability and analyze the dynamics of the different kinds of fundamental eigenmodes that can be excited in these nonlinear systems. We also discuss the possible transitions between solitary waves belonging to different nonlinear regimes through the mechanism of soliton switching.

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confidence: 91%

“…[28,29]. After a straightforward study, we have found that the solutions with A o ∞ , A u ∞ are linearly stable, i.e., they do not undergo modulational instability under small perturbations, while the A g ∞ lies within an instability window.…”

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confidence: 99%

Ultrasolitons: Multistability and subcritical power threshold from higher-order Kerr terms

Novoa

Tommasini

Michinel

2012

EPL

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“…The aim of this paper is to give a detailed description of the theory of Bose-Einstein condensation (BEC) of light in a dye-filled optical microcavity, a new physical phenomenon that was experimentally observed in 2010 [1]. This observation is an important achievement in the study of critical phenomena in optical systems [2][3][4][5][6][7][8][9] and has attracted considerable interest [10][11][12][13][14][15][16][17][18][19]. In the experiment, a microcavity composed of two highly reflecting spherical dielectric mirrors is filled with a dye solution and confines photons, which are repeatedly absorbed and reemitted by dye molecules.…”

Section: Introductionmentioning

confidence: 98%

Bose-Einstein condensation of light: General theory

Sob’yanin

2013

Phys. Rev. E

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A theory of Bose-Einstein condensation of light in a dye-filled optical microcavity is presented. The theory is based on the hierarchical maximum entropy principle and allows one to investigate the fluctuating behavior of the photon gas in the microcavity for all numbers of photons, dye molecules, and excitations at all temperatures, including the whole critical region. The master equation describing the interaction between photons and dye molecules in the microcavity is derived and the equivalence between the hierarchical maximum entropy principle and the master equation approach is shown. The cases of a fixed mean total photon number and a fixed total excitation number are considered, and a much sharper, nonparabolic onset of a macroscopic Bose-Einstein condensation of light in the latter case is demonstrated. The theory does not use the grand canonical approximation, takes into account the photon polarization degeneracy, and exactly describes the microscopic, mesoscopic, and macroscopic Bose-Einstein condensation of light. Under certain conditions, it predicts sub-Poissonian statistics of the photon condensate and the polarized photon condensate, and a universal relation takes place between the degrees of second-order coherence for these condensates. In the macroscopic case, there appear a sharp jump in the degrees of second-order coherence, a sharp jump and kink in the reduced standard deviations of the fluctuating numbers of photons in the polarized and whole condensates, and a sharp peak, a cusp, of the Mandel parameter for the whole condensate in the critical region. The possibility of nonclassical light generation in the microcavity with the photon Bose-Einstein condensate is predicted.

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“…The cubic-quintic equation is an appropriate model for the propagation of light in certain optical materials, see for instance [16] and references in [17]. It has also been used as an approximation to the process of filamentation [18][19][20]. Recent experimental advances reinforce the significance of new theoretical studies.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of vortex-antivortex pairs and rarefaction pulses in liquid light

2017

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We present a numerical study of the cubic-quintic nonlinear Schrödinger equation in two transverse dimensions, relevant for the propagation of light in certain exotic media. A well-known feature of the model is the existence of flat-top bright solitons of fixed intensity, whose dynamics resembles the physics of a liquid. They support traveling wave solutions, consisting of rarefaction pulses and vortex-antivortex pairs. In this work, we demonstrate how the vortex-antivortex pairs can be generated in bright soliton collisions displaying destructive interference followed by a snake instability. We then discuss the collisional dynamics of the dark excitations for different initial conditions. We describe a number of distinct phenomena including vortex exchange modes, quasielastic flyby scattering, solitonlike crossing, fully inelastic collisions, and rarefaction pulse merging.

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Filamentation processes and dynamical excitation of light condensates in optical media with competing nonlinearities

Cited by 6 publications

References 24 publications

Ultrasolitons: Multistability and subcritical power threshold from higher-order Kerr terms

Ultrasolitons: Multistability and subcritical power threshold from higher-order Kerr terms

Bose-Einstein condensation of light: General theory

Dynamics of vortex-antivortex pairs and rarefaction pulses in liquid light

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